## # A tibble: 81 × 3
##    site                   freq   pop
##    <chr>                 <dbl> <dbl>
##  1 Rib Lake WWTF           1.4   386
##  2 Neopit WWTF             1    1000
##  3 Wolf River Ranch WWTF   1    1000
##  4 Red Cliff WWTP          1.2  1900
##  5 Spencer WWTP            1.3  2000
##  6 Washburn WWTP           1    2200
##  7 Hayward WPCF            1.3  2375
##  8 Keshena WWTF            1    2500
##  9 Spooner WWTP            1    2700
## 10 Mondovi WWTF            1    2800
## # … with 71 more rows
## 
## Call:
## lm(formula = missed_percent ~ MSE + window + quant + FlagType, 
##     data = .)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -1.5954 -0.3097  0.0634  0.3445  1.4235 
## 
## Coefficients:
##                          Estimate Std. Error t value Pr(>|t|)   
## (Intercept)              1.637168   1.799693   0.910  0.36921   
## MSE                      0.171105   0.051553   3.319  0.00212 **
## window                  -0.014304   0.007813  -1.831  0.07567 . 
## quant                   -1.753772   1.038178  -1.689  0.10006   
## FlagTypeflag.ntile.Pval  0.213933   0.217533   0.983  0.33213   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.6075 on 35 degrees of freedom
## Multiple R-squared:  0.8401, Adjusted R-squared:  0.8218 
## F-statistic: 45.96 on 4 and 35 DF,  p-value: 1.84e-13

## # A tibble: 1 × 1
##   `mean(abs(flag_error) > edgeThresh, na.rm = TRUE)`
##                                                <dbl>
## 1                                             0.0310

## # A tibble: 1 × 1
##   `mean(missed_percent == 0)`
##                         <dbl>
## 1                       0.167

## # A tibble: 1 × 1
##   `mean(missed_percent == 0)`
##                         <dbl>
## 1                       0.309

## 
## Call:
## lm(formula = missed_percent ~ FlagType + window + quant + sample_rate + 
##     pop + MSE, data = ., weights = num_flags)
## 
## Weighted Residuals:
##     Min      1Q  Median      3Q     Max 
## -75.525 -15.405   3.617  19.571  91.319 
## 
## Coefficients:
##                          Estimate Std. Error t value Pr(>|t|)    
## (Intercept)             -4.774155   1.149944  -4.152 3.77e-05 ***
## FlagTypeflag.ntile       0.169403   0.334023   0.507    0.612    
## FlagTypeflag.ntile.Pval  0.218275   0.417362   0.523    0.601    
## window                   0.006792   0.008983   0.756    0.450    
## quant                    0.074486   0.989565   0.075    0.940    
## sample_rate              0.098971   0.086279   1.147    0.252    
## pop                      0.923824   0.179195   5.155 3.43e-07 ***
## MSE                      0.224445   0.007978  28.132  < 2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 32.1 on 606 degrees of freedom
##   (8 observations deleted due to missingness)
## Multiple R-squared:  0.6615, Adjusted R-squared:  0.6576 
## F-statistic: 169.2 on 7 and 606 DF,  p-value: < 2.2e-16

## 
## Call:
## lm(formula = flag_error ~ site, data = .)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -37.737  -0.322   0.441   1.443  41.133 
## 
## Coefficients:
##                                           Estimate Std. Error t value Pr(>|t|)
## (Intercept)                              -0.098361   0.322581  -0.305 0.760430
## siteAppleton WWTF                        -1.623947   0.348064  -4.666 3.08e-06
## siteAshland Sewage Utility                0.158345   0.371210   0.427 0.669696
## siteBaraboo WWTF                         -1.404645   0.365705  -3.841 0.000123
## siteBeloit WWTF                           0.853301   0.528851   1.614 0.106639
## siteBerlin WWTF                          -1.101916   0.406731  -2.709 0.006746
## siteBlack River Falls WWTF               -1.149858   0.361170  -3.184 0.001454
## siteBurlington WPCC                       3.103463   0.466271   6.656 2.83e-11
## siteChippewa Falls WWTF                   4.412431   0.464435   9.501  < 2e-16
## siteClintonville Wastewater Utility      -1.113123   0.359610  -3.095 0.001966
## siteColumbus WWTF                         0.705811   0.382749   1.844 0.065178
## siteDe Pere WWTF                         -0.365402   0.348120  -1.050 0.293885
## siteEau Claire WWTF                      -1.155033   0.349766  -3.302 0.000959
## siteFox River WPCC                       -0.164993   0.349939  -0.471 0.637291
## siteGrafton Water & Wastewater Utility    2.407884   0.447475   5.381 7.42e-08
## siteGreen Bay MSD                        -0.626407   0.347286  -1.804 0.071278
## siteHartford WPCF                         0.349376   0.374371   0.933 0.350701
## siteHayward WPCF                         -1.150479   0.360322  -3.193 0.001409
## siteHeart of the Valley MSD               0.695376   0.463237   1.501 0.133327
## siteHudson WWTF                          -0.127170   0.349542  -0.364 0.715995
## siteJanesville WW Utility                -0.033992   0.351937  -0.097 0.923055
## siteKenosha WWTF                         -0.133106   0.349798  -0.381 0.703560
## siteKeshena WWTF                          0.186103   0.401736   0.463 0.643189
## siteLa Crosse WWTP                        0.369058   0.353165   1.045 0.296023
## siteLac du Flambeau Tribal Water & Sewer -2.129282   0.394544  -5.397 6.80e-08
## siteLake Geneva WWTP                     -0.637892   0.386402  -1.651 0.098772
## siteLodi WWTF                             0.270949   0.386223   0.702 0.482970
## siteMadison                               0.384152   0.331736   1.158 0.246864
## siteMadison-P11-SW                        0.032415   0.357878   0.091 0.927831
## siteMadison-P18-NE                       -0.133040   0.358281  -0.371 0.710394
## siteMadison-P2-Central                    0.710408   0.356006   1.995 0.045991
## siteMadison-P7-SE                         0.220487   0.354032   0.623 0.533425
## siteMadison-P8-West                       0.340046   0.358732   0.948 0.343178
## siteManitowoc WWTF                       -0.691653   0.351949  -1.965 0.049393
## siteMarinette Wastewater Utility         -1.345049   0.368629  -3.649 0.000264
## siteMarshfield WWTF                      -0.993454   0.358657  -2.770 0.005608
## siteMauston WWTF                         -0.756662   0.393423  -1.923 0.054447
## siteMenomonie WWTF                       -1.428999   0.373223  -3.829 0.000129
## siteMerrill WWTP                          1.291813   0.370296   3.489 0.000486
## siteMilwaukee MSD Jones Island           -0.755097   0.346380  -2.180 0.029262
## siteMilwaukee MSD South Shore            -1.302066   0.346208  -3.761 0.000169
## siteMondovi WWTF                          0.221452   0.382697   0.579 0.562818
## siteMonroe WWTF                          -0.670770   0.364519  -1.840 0.065748
## siteNeopit WWTF                           0.163687   0.572137   0.286 0.774803
## siteNew Richmond WWTF                    -1.812354   0.412528  -4.393 1.12e-05
## siteOconomowoc WWTP                      -0.557045   0.359273  -1.550 0.121030
## siteOregon                               -1.635743   0.600747  -2.723 0.006473
## siteOshkosh WWTP                         -1.961677   0.347464  -5.646 1.65e-08
## sitePeshtigo WWTF                        -1.303692   0.376919  -3.459 0.000543
## sitePlatteville WWTF                      0.420694   0.353989   1.188 0.234663
## sitePlymouth Utilities WWTF              -0.031526   0.363421  -0.087 0.930872
## sitePort Washington WWTP                  0.431694   0.458926   0.941 0.346880
## siteRacine Wastewater Utility            -1.328927   0.349585  -3.801 0.000144
## siteRed Cliff WWTP                       -0.676170   0.443645  -1.524 0.127481
## siteRhinelander WWTP                     -0.983570   0.392336  -2.507 0.012179
## siteRib Lake WWTF                         0.211331   0.375821   0.562 0.573899
## siteRib Mountain MSD WWTF                 1.027174   0.504658   2.035 0.041814
## siteRiver Falls Municipal Utility WWTF    0.196105   0.366647   0.535 0.592747
## siteSheboygan WWTP                       -1.492417   0.354119  -4.214 2.51e-05
## siteSouth Milwaukee WWTF                  0.605702   0.420171   1.442 0.149429
## siteSparta WWTF                           0.228418   0.482160   0.474 0.635686
## siteSpencer WWTP                         -2.034292   0.400916  -5.074 3.90e-07
## siteSpooner WWTP                          1.055080   0.453071   2.329 0.019875
## siteStevens Point WWTF                   -0.378408   0.357097  -1.060 0.289294
## siteSturgeon Bay Utilities WWTF          -0.442520   0.493746  -0.896 0.370121
## siteSun Prairie WWTF                      0.009029   0.356006   0.025 0.979765
## siteSuperior WWTP                        -1.730490   0.461191  -3.752 0.000175
## siteViroqua WWTF                         -2.078488   0.364188  -5.707 1.15e-08
## siteWashburn WWTP                         1.177726   0.438428   2.686 0.007227
## siteWatertown WWTP                       -0.424619   0.417703  -1.017 0.309366
## siteWaukesha WWTP                        -0.343131   0.350862  -0.978 0.328093
## siteWaupaca WWTF                          0.584774   0.474132   1.233 0.217445
## siteWausau Water Works WWTF              -0.294259   0.347066  -0.848 0.396524
## siteWhitewater WWTF                      -1.828922   0.359313  -5.090 3.59e-07
## siteWisconsin Rapids WWTF                -0.549644   0.361279  -1.521 0.128167
## siteWolf River Ranch WWTF                 4.250223   0.481014   8.836  < 2e-16
## siteWolf Treatment Plant                 -0.981334   0.390597  -2.512 0.011993
##                                             
## (Intercept)                                 
## siteAppleton WWTF                        ***
## siteAshland Sewage Utility                  
## siteBaraboo WWTF                         ***
## siteBeloit WWTF                             
## siteBerlin WWTF                          ** 
## siteBlack River Falls WWTF               ** 
## siteBurlington WPCC                      ***
## siteChippewa Falls WWTF                  ***
## siteClintonville Wastewater Utility      ** 
## siteColumbus WWTF                        .  
## siteDe Pere WWTF                            
## siteEau Claire WWTF                      ***
## siteFox River WPCC                          
## siteGrafton Water & Wastewater Utility   ***
## siteGreen Bay MSD                        .  
## siteHartford WPCF                           
## siteHayward WPCF                         ** 
## siteHeart of the Valley MSD                 
## siteHudson WWTF                             
## siteJanesville WW Utility                   
## siteKenosha WWTF                            
## siteKeshena WWTF                            
## siteLa Crosse WWTP                          
## siteLac du Flambeau Tribal Water & Sewer ***
## siteLake Geneva WWTP                     .  
## siteLodi WWTF                               
## siteMadison                                 
## siteMadison-P11-SW                          
## siteMadison-P18-NE                          
## siteMadison-P2-Central                   *  
## siteMadison-P7-SE                           
## siteMadison-P8-West                         
## siteManitowoc WWTF                       *  
## siteMarinette Wastewater Utility         ***
## siteMarshfield WWTF                      ** 
## siteMauston WWTF                         .  
## siteMenomonie WWTF                       ***
## siteMerrill WWTP                         ***
## siteMilwaukee MSD Jones Island           *  
## siteMilwaukee MSD South Shore            ***
## siteMondovi WWTF                            
## siteMonroe WWTF                          .  
## siteNeopit WWTF                             
## siteNew Richmond WWTF                    ***
## siteOconomowoc WWTP                         
## siteOregon                               ** 
## siteOshkosh WWTP                         ***
## sitePeshtigo WWTF                        ***
## sitePlatteville WWTF                        
## sitePlymouth Utilities WWTF                 
## sitePort Washington WWTP                    
## siteRacine Wastewater Utility            ***
## siteRed Cliff WWTP                          
## siteRhinelander WWTP                     *  
## siteRib Lake WWTF                           
## siteRib Mountain MSD WWTF                *  
## siteRiver Falls Municipal Utility WWTF      
## siteSheboygan WWTP                       ***
## siteSouth Milwaukee WWTF                    
## siteSparta WWTF                             
## siteSpencer WWTP                         ***
## siteSpooner WWTP                         *  
## siteStevens Point WWTF                      
## siteSturgeon Bay Utilities WWTF             
## siteSun Prairie WWTF                        
## siteSuperior WWTP                        ***
## siteViroqua WWTF                         ***
## siteWashburn WWTP                        ** 
## siteWatertown WWTP                          
## siteWaukesha WWTP                           
## siteWaupaca WWTF                            
## siteWausau Water Works WWTF                 
## siteWhitewater WWTF                      ***
## siteWisconsin Rapids WWTF                   
## siteWolf River Ranch WWTF                ***
## siteWolf Treatment Plant                 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 6.666 on 112092 degrees of freedom
##   (1988311 observations deleted due to missingness)
## Multiple R-squared:  0.01895,    Adjusted R-squared:  0.01828 
## F-statistic: 28.48 on 76 and 112092 DF,  p-value: < 2.2e-16

## [1] -0.5196623
## [1] -0.9945823
## [1] 14.1358
## [1] 4.443442e-17
## [1] -0.9643401
## [1] 13.81954